Finding the Third Proportional to 25,865 and 56,467

Step by Step Solution

1. Step 1: Write the proportion equation
   25,865 : 56,467 = 56,467 : x
2. Step 2: Convert to fraction form
   25,865/56,467 = 56,467/x
3. Step 3: Cross multiply
   25,865x = 56,467 × 56,467
4. Step 4: Simplify right side
   25,865x = 3,188,522,089
5. Step 5: Solve for x
   x = 3,188,522,089/25,865
6. Step 6: Final answer
   x = 123,275.55